{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 判别分析\n",
    "[判别分析和聚类分析的区别](https://www.sohu.com/a/146609190_301099)\n",
    "[线性判别分析优于PCA的地方](https://blog.csdn.net/liuweiyuxiang/article/details/78874106)\n",
    "\n",
    "## 1. 距离判别\n",
    "- 马氏距离: $d(x, y) = \\sqrt{(x-y)^T \\Sigma^{-1}(x-y)}$\n",
    "- 样本和总体距离: $d(x, A) = \\sqrt{(x-\\mu)^T \\Sigma^{-1}(x-\\mu)}$  \n",
    "令$\\omega(x)=\\left(x-\\overline\\mu\\right)^T \\Sigma^{-1}\\left(\\mu_1-\\mu_2\\right)$\n",
    "    - 协方差相同时,则有$x\\in\\left\\{\\begin{array}{l}A,\\ \\omega(x)\\ge0\\\\B,\\ \\omega(x)<0\\end{array}\\right.$\n",
    "    - 协方差不同时,见261页\n",
    "    \n",
    "## 2. Fisher判别(线性判别)\n",
    "\n",
    "## 3. Bayes判别\n",
    "用样本修正已有先验概率分布,得出后盐概率分布来进行各种统计推断\n",
    "\n",
    "- 两总体Bayes判别的平均误判损失: $ECM(R_1,R_2)=L(2|1)P(2|1)p_1+L(1|2)P(1|2)p_2$\n",
    "- 两总体Bayes判别的分界为:$\\frac{f_1(x)}{f_2(x)}=\\frac{L(1|2)}{L(2|1)}\\cdot\\frac{p_2}{p_1}$\n",
    "\n",
    "*正态总体见265页*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
    "X = np.array([[-1, -1], [-2, -1], [-3, -2], [1, 1], [2, 1], [3, 2]])\n",
    "y = np.array([1, 1, 1, 2, 2, 2])\n",
    "clf = LinearDiscriminantAnalysis()\n",
    "clf.fit(X, y)\n",
    "LinearDiscriminantAnalysis()\n",
    "print(clf.predict([[-0.8, -1]]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.discriminant_analysis import QuadraticDiscriminantAnalysis\n",
    "import numpy as np\n",
    "\n",
    "X = np.array([[-1, -1], [-2, -1], [-3, -2], [1, 1], [2, 1], [3, 2]])\n",
    "y = np.array([1, 1, 1, 2, 2, 2])\n",
    "clf = QuadraticDiscriminantAnalysis()\n",
    "clf.fit(X, y)\n",
    "print(clf.predict([[-0.8, -1]]))\n",
    "\n",
    "mesh_x = np.linspace(-5, 5, 3)\n",
    "mesh_y = np.linspace(-5, 5, 3)\n",
    "mesh_X, mesh_Y = np.meshgrid(mesh_x, mesh_y)\n",
    "XY = np.concatenate((mesh_X, mesh_Y), axis=1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of mislabeled points out of a total 75 points : 4\n"
     ]
    }
   ],
   "source": [
    "# 朴素贝叶斯\n",
    "\n",
    "from sklearn.datasets import load_iris\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "\n",
    "X, y = load_iris(return_X_y=True)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.5, random_state=0)\n",
    "gnb = GaussianNB()\n",
    "y_pred = gnb.fit(X_train, y_train).predict(X_test)\n",
    "print(\"Number of mislabeled points out of a total %d points : %d\"\n",
    "      % (X_test.shape[0], (y_test != y_pred).sum()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import linalg\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "from matplotlib import colors\n",
    "\n",
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
    "from sklearn.discriminant_analysis import QuadraticDiscriminantAnalysis\n",
    "\n",
    "# #############################################################################\n",
    "# Colormap\n",
    "cmap = colors.LinearSegmentedColormap(\n",
    "    'red_blue_classes',\n",
    "    {'red': [(0, 1, 1), (1, 0.7, 0.7)],\n",
    "     'green': [(0, 0.7, 0.7), (1, 0.7, 0.7)],\n",
    "     'blue': [(0, 0.7, 0.7), (1, 1, 1)]})\n",
    "plt.cm.register_cmap(cmap=cmap)\n",
    "\n",
    "\n",
    "# #############################################################################\n",
    "# Generate datasets\n",
    "def dataset_fixed_cov():\n",
    "    '''Generate 2 Gaussians samples with the same covariance matrix'''\n",
    "    n, dim = 300, 2\n",
    "    np.random.seed(0)\n",
    "    C = np.array([[0., -0.23], [0.83, .23]])\n",
    "    X = np.r_[np.dot(np.random.randn(n, dim), C),\n",
    "              np.dot(np.random.randn(n, dim), C) + np.array([1, 1])]\n",
    "    y = np.hstack((np.zeros(n), np.ones(n)))\n",
    "    return X, y\n",
    "\n",
    "\n",
    "def dataset_cov():\n",
    "    '''Generate 2 Gaussians samples with different covariance matrices'''\n",
    "    n, dim = 300, 2\n",
    "    np.random.seed(0)\n",
    "    C = np.array([[0., -1.], [2.5, .7]]) * 2.\n",
    "    X = np.r_[np.dot(np.random.randn(n, dim), C),\n",
    "              np.dot(np.random.randn(n, dim), C.T) + np.array([1, 4])]\n",
    "    y = np.hstack((np.zeros(n), np.ones(n)))\n",
    "    return X, y\n",
    "\n",
    "\n",
    "# #############################################################################\n",
    "# Plot functions\n",
    "def plot_data(lda, X, y, y_pred, fig_index):\n",
    "    splot = plt.subplot(2, 2, fig_index)\n",
    "    if fig_index == 1:\n",
    "        plt.title('Linear Discriminant Analysis')\n",
    "        plt.ylabel('Data with\\n fixed covariance')\n",
    "    elif fig_index == 2:\n",
    "        plt.title('Quadratic Discriminant Analysis')\n",
    "    elif fig_index == 3:\n",
    "        plt.ylabel('Data with\\n varying covariances')\n",
    "\n",
    "    tp = (y == y_pred)  # True Positive\n",
    "    tp0, tp1 = tp[y == 0], tp[y == 1]\n",
    "    X0, X1 = X[y == 0], X[y == 1]\n",
    "    X0_tp, X0_fp = X0[tp0], X0[~tp0]\n",
    "    X1_tp, X1_fp = X1[tp1], X1[~tp1]\n",
    "\n",
    "    # class 0: dots\n",
    "    plt.scatter(X0_tp[:, 0], X0_tp[:, 1], marker='.', color='red')\n",
    "    plt.scatter(X0_fp[:, 0], X0_fp[:, 1], marker='x',\n",
    "                s=20, color='#990000')  # dark red\n",
    "\n",
    "    # class 1: dots\n",
    "    plt.scatter(X1_tp[:, 0], X1_tp[:, 1], marker='.', color='blue')\n",
    "    plt.scatter(X1_fp[:, 0], X1_fp[:, 1], marker='x',\n",
    "                s=20, color='#000099')  # dark blue\n",
    "\n",
    "    # class 0 and 1 : areas\n",
    "    nx, ny = 200, 100\n",
    "    x_min, x_max = plt.xlim()\n",
    "    y_min, y_max = plt.ylim()\n",
    "    xx, yy = np.meshgrid(np.linspace(x_min, x_max, nx),\n",
    "                         np.linspace(y_min, y_max, ny))\n",
    "    Z = lda.predict_proba(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z[:, 1].reshape(xx.shape)\n",
    "    plt.pcolormesh(xx, yy, Z, cmap='red_blue_classes',\n",
    "                   norm=colors.Normalize(0., 1.), zorder=0)\n",
    "    plt.contour(xx, yy, Z, [0.5], linewidths=2., colors='white')\n",
    "\n",
    "    # means\n",
    "    plt.plot(lda.means_[0][0], lda.means_[0][1],\n",
    "             '*', color='yellow', markersize=15, markeredgecolor='grey')\n",
    "    plt.plot(lda.means_[1][0], lda.means_[1][1],\n",
    "             '*', color='yellow', markersize=15, markeredgecolor='grey')\n",
    "\n",
    "    return splot\n",
    "\n",
    "\n",
    "def plot_ellipse(splot, mean, cov, color):\n",
    "    v, w = linalg.eigh(cov)\n",
    "    u = w[0] / linalg.norm(w[0])\n",
    "    angle = np.arctan(u[1] / u[0])\n",
    "    angle = 180 * angle / np.pi  # convert to degrees\n",
    "    # filled Gaussian at 2 standard deviation\n",
    "    ell = mpl.patches.Ellipse(mean, 2 * v[0] ** 0.5, 2 * v[1] ** 0.5,\n",
    "                              180 + angle, facecolor=color,\n",
    "                              edgecolor='black', linewidth=2)\n",
    "    ell.set_clip_box(splot.bbox)\n",
    "    ell.set_alpha(0.2)\n",
    "    splot.add_artist(ell)\n",
    "    splot.set_xticks(())\n",
    "    splot.set_yticks(())\n",
    "\n",
    "\n",
    "def plot_lda_cov(lda, splot):\n",
    "    plot_ellipse(splot, lda.means_[0], lda.covariance_, 'red')\n",
    "    plot_ellipse(splot, lda.means_[1], lda.covariance_, 'blue')\n",
    "\n",
    "\n",
    "def plot_qda_cov(qda, splot):\n",
    "    plot_ellipse(splot, qda.means_[0], qda.covariance_[0], 'red')\n",
    "    plot_ellipse(splot, qda.means_[1], qda.covariance_[1], 'blue')\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10, 8), facecolor='white')\n",
    "plt.suptitle('Linear Discriminant Analysis vs Quadratic Discriminant Analysis',\n",
    "             y=0.98, fontsize=15)\n",
    "for i, (X, y) in enumerate([dataset_fixed_cov(), dataset_cov()]):\n",
    "    # Linear Discriminant Analysis\n",
    "    lda = LinearDiscriminantAnalysis(solver=\"svd\", store_covariance=True)\n",
    "    y_pred = lda.fit(X, y).predict(X)\n",
    "    splot = plot_data(lda, X, y, y_pred, fig_index=2 * i + 1)\n",
    "    plot_lda_cov(lda, splot)\n",
    "    plt.axis('tight')\n",
    "\n",
    "    # Quadratic Discriminant Analysis\n",
    "    qda = QuadraticDiscriminantAnalysis(store_covariance=True)\n",
    "    y_pred = qda.fit(X, y).predict(X)\n",
    "    splot = plot_data(qda, X, y, y_pred, fig_index=2 * i + 2)\n",
    "    plot_qda_cov(qda, splot)\n",
    "    plt.axis('tight')\n",
    "plt.tight_layout()\n",
    "plt.subplots_adjust(top=0.92)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
